6th Grade Math Flashcards: Write Expressions With Numbers And Variables

What this deck covers

This deck focuses on Write Expressions With Numbers And Variables, giving you a quick way to review the definitions, rules, and examples that matter most for 6th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What does the phrase "$4$ divided by the sum of $x$ and $y$" translate to as an expression?

Answer: $\frac{4}{x + y}$. $4$ is the numerator, sum is the denominator.

Flashcard 2: What does the phrase "the quotient of $7$ and a number $n$" translate to as an expression?

Answer: $\frac{7}{n}$. First number mentioned is the numerator.

Flashcard 3: What does the phrase "$3$ times the sum of a number $x$ and $5$" translate to as an expression?

Answer: $3(x + 5)$. Multiply $3$ by the entire sum in parentheses.

Flashcard 4: What is the algebraic expression for "three times the sum of $a$ and $2$"?

Answer: $3(a + 2)$. Parentheses show to add first before multiplying.

Flashcard 5: What does the variable $x$ represent in an algebraic expression?

Answer: $x$ represents an unknown number. Variables stand for unknown values in math.

Flashcard 6: What does the phrase "$7$ less than a number $n$" translate to as an expression?

Answer: $n - 7$. "Less than" means subtract from the original number.

Flashcard 7: What operation does the expression $x + 7$ record?

Answer: Addition of $7$ to $x$. The plus sign shows we're adding two values.

Flashcard 8: What does the phrase "a number $n$ less than $7$" translate to as an expression?

Answer: $7 - n$. "$n$ less than $7$" means $7$ minus $n$.

Flashcard 9: What does the expression $2(x + 5)$ record?

Answer: $2$ times the quantity $(x + 5)$. Parentheses show to add first, then multiply by $2$.

Flashcard 10: What does the phrase "$7$ decreased by a number $n$" translate to as an expression?

Answer: $7 - n$. Start with $7$ and subtract $n$ from it.

Flashcard 11: What is the algebraic expression for "the sum of $n$ and $9$"?

Answer: $n + 9$. "Sum" means addition in math language.

Flashcard 12: What does the phrase "$5$ more than twice a number $x$" translate to as an expression?

Answer: $2x + 5$. First double $x$, then add $5$.

Flashcard 13: What operation does the expression $p \div 5$ record?

Answer: Division of $p$ by $5$. The division symbol shows we're splitting $p$ into $5$ equal parts.

Flashcard 14: What does the phrase "half of a number $x$" translate to as an expression?

Answer: $\frac{x}{2}$. "Half" means divide by $2$.

Flashcard 15: What operation does the expression $3n$ record?

Answer: Multiplication of $3$ and $n$. Writing numbers next to variables means multiply.

Flashcard 16: What is the algebraic expression for "$4$ more than $y$"?

Answer: $y + 4$. "More than" means add to the variable.

Flashcard 17: What is the algebraic expression for "$5$ decreased by the square of $n$"?

Answer: $5 - n^2$. "Decreased by" means subtract from $5$.

Flashcard 18: What is the algebraic expression for "the product of $7$ and $t$"?

Answer: $7t$. "Product" means multiplication result.

Flashcard 19: What is the algebraic expression for "the sum of $3a$ and $2$"?

Answer: $3a + 2$. Add the products: $3$ times $a$ plus $2$.

Flashcard 20: What does the expression $n^2$ mean?

Answer: $n$ multiplied by itself, $n \cdot n$. The exponent $2$ means multiply $n$ by itself.

Flashcard 21: What is the algebraic expression for "the difference of $y$ and $4$"?

Answer: $y - 4$. "Difference" means subtraction in math.

Flashcard 22: What does the phrase "the product of $5$ and the difference of $x$ and $2$" translate to as an expression?

Answer: $5(x - 2)$. Multiply $5$ by the entire difference.

Flashcard 23: What is the algebraic expression for "$q$ divided by $8$"?

Answer: $\frac{q}{8}$. "Divided by" puts $q$ in numerator, $8$ in denominator.

Flashcard 24: What does the expression $\frac{m}{4}$ record?

Answer: $m$ divided by $4$. The fraction bar represents division.

Flashcard 25: What does the phrase "$7$ more than a number $n$" translate to as an expression?

Answer: $n + 7$. "More than" means add to the original number.

Flashcard 26: What is the algebraic expression for "$6$ less than twice $x$"?

Answer: $2x - 6$. First double $x$ to get $2x$, then subtract $6$.

Flashcard 27: What operation does the expression $12 - y$ record?

Answer: Subtraction of $y$ from $12$. The minus sign shows we're taking away $y$ from $12$.

Flashcard 28: What does the phrase "twice the quantity $x$ plus $5$" translate to as an expression?

Answer: $2(x + 5)$. "Quantity" indicates grouping with parentheses.

Flashcard 29: What does the phrase "the sum of $x$ and $y$, divided by $4$" translate to as an expression?

Answer: $\frac{x + y}{4}$. Add first, then divide the sum by $4$.

Flashcard 30: What does the phrase "a number $n$ decreased by $7$" translate to as an expression?

Answer: $n - 7$. "Decreased by" means subtraction.

Flashcard 31: What does the phrase "the quotient of a number $n$ and $7$" translate to as an expression?

Answer: $\frac{n}{7}$. "Quotient" means division; $n$ divided by $7$.

Flashcard 32: What is the algebraic expression for "$6$ less than the product of $2$ and $x$"?

Answer: $2x - 6$. "Product" means multiply, then subtract $6$.

Flashcard 33: What does the phrase "the sum of $3$ times a number $x$ and $5$" translate to as an expression?

Answer: $3x + 5$. First multiply $3$ and $x$, then add $5$.

Flashcard 34: What does the phrase "the difference of $5$ and a number $x$" translate to as an expression?

Answer: $5 - x$. Subtract in the order given: $5$ minus $x$.

Flashcard 35: What does the phrase "twice a number $x$" translate to as an expression?

Answer: $2x$. "Twice" means multiply by $2$.

Flashcard 36: What does the phrase "the difference of a number $x$ and $5$" translate to as an expression?

Answer: $x - 5$. "Difference" means subtraction in order mentioned.

Flashcard 37: What does the phrase "the product of $7$ and a number $n$" translate to as an expression?

Answer: $7n$. "Product" means multiplication.

Flashcard 38: What is the algebraic expression for "$6$ less than $x$"?

Answer: $x - 6$. "Less than" means subtract from the number mentioned.

Flashcard 39: What does the phrase "a number $n$ increased by $7$" translate to as an expression?

Answer: $n + 7$. "Increased by" means addition.

Flashcard 40: What is the algebraic expression for "$8$ divided by $q$"?

Answer: $\frac{8}{q}$. Order matters: $8$ is divided by $q$.